author | haftmann |
Mon, 19 Jan 2009 08:16:42 +0100 | |
changeset 29558 | 9846af6c6d6a |
parent 29547 | f2587922591e |
child 29575 | 41d604e59e93 |
permissions | -rw-r--r-- |
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(* Title: Pure/Isar/ML |
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Author: Florian Haftmann, TU Muenchen |
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Type classes derived from primitive axclasses and locales - interfaces |
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*) |
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signature CLASS = |
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sig |
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include CLASS_TARGET |
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(*FIXME the split into class_target.ML, theory_target.ML and |
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class.ML is artificial*) |
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val class: bstring -> class list -> Element.context_i list |
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-> theory -> string * local_theory |
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val class_cmd: bstring -> xstring list -> Element.context list |
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-> theory -> string * local_theory |
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val prove_subclass: tactic -> class -> local_theory -> local_theory |
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val subclass: class -> local_theory -> Proof.state |
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val subclass_cmd: xstring -> local_theory -> Proof.state |
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end; |
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structure Class : CLASS = |
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struct |
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open Class_Target; |
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(** define classes **) |
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local |
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fun calculate thy class sups base_sort param_map assm_axiom = |
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let |
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val empty_ctxt = ProofContext.init thy; |
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(* instantiation of canonical interpretation *) |
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(*FIXME inst_morph should be calculated manually and not instantiate constraint*) |
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val aT = TFree ("'a", base_sort); |
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val (([props], [(_, inst_morph)], export_morph), _) = empty_ctxt |
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|> Expression.cert_goal_expression ([(class, (("", false), |
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Expression.Named ((map o apsnd) Const param_map)))], []); |
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||
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(* witness for canonical interpretation *) |
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val prop = try the_single props; |
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val wit = Option.map (fn prop => let |
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val sup_axioms = map_filter (fst o rules thy) sups; |
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val loc_intro_tac = case Locale.intros_of thy class |
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of (_, NONE) => all_tac |
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| (_, SOME intro) => ALLGOALS (Tactic.rtac intro); |
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val tac = loc_intro_tac |
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THEN ALLGOALS (ProofContext.fact_tac (sup_axioms @ the_list assm_axiom)) |
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in Element.prove_witness empty_ctxt prop tac end) prop; |
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val axiom = Option.map Element.conclude_witness wit; |
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(* canonical interpretation *) |
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val base_morph = inst_morph |
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$> Morphism.binding_morphism |
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(Binding.add_prefix false (class_prefix class)) |
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$> Element.satisfy_morphism (the_list wit); |
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val defs = these_defs thy sups; |
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val eq_morph = Element.eq_morphism thy defs; |
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val morph = base_morph $> eq_morph; |
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||
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(* assm_intro *) |
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fun prove_assm_intro thm = |
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let |
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val prop = thm |> Thm.prop_of |> Logic.unvarify |
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|> Morphism.term (inst_morph $> eq_morph) |
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|> (map_types o map_atyps) (K aT); |
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fun tac ctxt = LocalDefs.unfold_tac ctxt (map Thm.symmetric defs) (*FIXME*) |
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THEN ALLGOALS (ProofContext.fact_tac [thm]); |
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in Goal.prove_global thy [] [] prop (tac o #context) end; |
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val assm_intro = Option.map prove_assm_intro |
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(fst (Locale.intros_of thy class)); |
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||
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(* of_class *) |
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val of_class_prop_concl = Logic.mk_inclass (aT, class); |
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val of_class_prop = case prop of NONE => of_class_prop_concl |
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| SOME prop => Logic.mk_implies (Morphism.term inst_morph prop, |
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of_class_prop_concl) |> (map_types o map_atyps) (K aT) |
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val sup_of_classes = map (snd o rules thy) sups; |
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val loc_axiom_intros = map Drule.standard' (Locale.axioms_of thy class); |
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val axclass_intro = #intro (AxClass.get_info thy class); |
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val base_sort_trivs = Drule.sort_triv thy (aT, base_sort); |
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val tac = REPEAT (SOMEGOAL |
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(Tactic.match_tac (axclass_intro :: sup_of_classes |
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@ loc_axiom_intros @ base_sort_trivs) |
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ORELSE' Tactic.assume_tac)); |
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val of_class = Goal.prove_global thy [] [] of_class_prop (K tac); |
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in (base_morph, morph, export_morph, axiom, assm_intro, of_class) end; |
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fun prep_class_spec prep_class process_decl thy raw_supclasses raw_elems = |
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let |
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(*FIXME 2009 simplify*) |
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val supclasses = map (prep_class thy) raw_supclasses; |
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val supsort = Sign.minimize_sort thy supclasses; |
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val (sups, bases) = List.partition (is_class thy) supsort; |
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val base_sort = if null sups then supsort else |
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Library.foldr (Sorts.inter_sort (Sign.classes_of thy)) |
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(map (base_sort thy) sups, bases); |
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val supparams = (map o apsnd) (snd o snd) (these_params thy sups); |
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val supparam_names = map fst supparams; |
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val _ = if has_duplicates (op =) supparam_names |
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then error ("Duplicate parameter(s) in superclasses: " |
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^ (commas o map quote o duplicates (op =)) supparam_names) |
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else (); |
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val supexpr = (map (fn sup => (sup, (("", false), Expression.Positional []))) |
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sups, []); |
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val constrain = Element.Constrains ((map o apsnd o map_atyps) |
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(K (TFree (Name.aT, base_sort))) supparams); |
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(*FIXME 2009 perhaps better: control type variable by explicit |
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parameter instantiation of import expression*) |
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val begin_ctxt = begin sups base_sort |
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#> fold (Variable.declare_constraints o Free) ((map o apsnd o map_atyps) |
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(K (TFree (Name.aT, base_sort))) supparams) (*FIXME |
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should constraints be issued in begin?*) |
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val ((_, _, syntax_elems), _) = ProofContext.init thy |
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|> begin_ctxt |
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|> process_decl supexpr raw_elems; |
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fun fork_syn (Element.Fixes xs) = |
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fold_map (fn (c, ty, syn) => cons (Binding.base_name c, syn) #> pair (c, ty, NoSyn)) xs |
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#>> Element.Fixes |
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| fork_syn x = pair x; |
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val (elems, global_syntax) = fold_map fork_syn syntax_elems []; |
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in (((sups, supparam_names), (supsort, base_sort, supexpr)), (constrain :: elems, global_syntax)) end; |
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val cert_class_spec = prep_class_spec (K I) Expression.cert_declaration; |
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val read_class_spec = prep_class_spec Sign.intern_class Expression.cert_read_declaration; |
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fun add_consts bname class base_sort sups supparams global_syntax thy = |
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let |
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(*FIXME 2009 simplify*) |
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val supconsts = supparams |
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|> AList.make (snd o the o AList.lookup (op =) (these_params thy sups)) |
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|> (map o apsnd o apsnd o map_atyps o K o TFree) (Name.aT, [class]); |
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val all_params = Locale.params_of thy class; |
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val raw_params = (snd o chop (length supparams)) all_params; |
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fun add_const (b, SOME raw_ty, _) thy = |
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let |
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val v = Binding.base_name b; |
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val c = Sign.full_bname thy v; |
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val ty = map_atyps (K (TFree (Name.aT, base_sort))) raw_ty; |
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val ty0 = Type.strip_sorts ty; |
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val ty' = map_atyps (K (TFree (Name.aT, [class]))) ty0; |
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val syn = (the_default NoSyn o AList.lookup (op =) global_syntax) v; |
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in |
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thy |
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|> Sign.declare_const [] ((Binding.name v, ty0), syn) |
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|> snd |
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|> pair ((v, ty), (c, ty')) |
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end; |
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in |
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thy |
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|> Sign.add_path (class_prefix class) |
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|> fold_map add_const raw_params |
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||> Sign.restore_naming thy |
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|-> (fn params => pair (supconsts @ (map o apfst) fst params, params)) |
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end; |
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fun adjungate_axclass bname class base_sort sups supsort supparams global_syntax thy = |
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let |
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(*FIXME 2009 simplify*) |
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fun globalize param_map = map_aterms |
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(fn Free (v, ty) => Const ((fst o the o AList.lookup (op =) param_map) v, ty) |
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| t => t); |
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val raw_pred = Locale.intros_of thy class |
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|> fst |
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|> Option.map (Logic.unvarify o Logic.strip_imp_concl o Thm.prop_of); |
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fun get_axiom thy = case (#axioms o AxClass.get_info thy) class |
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of [] => NONE |
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| [thm] => SOME thm; |
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in |
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thy |
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|> add_consts bname class base_sort sups supparams global_syntax |
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|-> (fn (param_map, params) => AxClass.define_class (bname, supsort) |
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(map (fst o snd) params) |
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[((Binding.empty, []), |
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Option.map (globalize param_map) raw_pred |> the_list)] |
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#> snd |
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#> `get_axiom |
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#-> (fn assm_axiom => fold (Sign.add_const_constraint o apsnd SOME o snd) params |
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#> pair (param_map, params, assm_axiom))) |
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end; |
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fun gen_class prep_spec bname raw_supclasses raw_elems thy = |
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let |
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val class = Sign.full_bname thy bname; |
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val (((sups, supparams), (supsort, base_sort, supexpr)), (elems, global_syntax)) = |
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prep_spec thy raw_supclasses raw_elems; |
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in |
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thy |
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|> Expression.add_locale bname "" supexpr elems |
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|> snd |> LocalTheory.exit_global |
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|> adjungate_axclass bname class base_sort sups supsort supparams global_syntax |
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|-> (fn (param_map, params, assm_axiom) => |
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`(fn thy => calculate thy class sups base_sort param_map assm_axiom) |
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#-> (fn (base_morph, morph, export_morph, axiom, assm_intro, of_class) => |
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Locale.add_registration (class, (morph, export_morph)) |
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#> Locale.activate_global_facts (class, morph $> export_morph) |
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#> register class sups params base_sort base_morph axiom assm_intro of_class)) |
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|> TheoryTarget.init (SOME class) |
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|> pair class |
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end; |
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||
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in |
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||
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val class = gen_class cert_class_spec; |
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val class_cmd = gen_class read_class_spec; |
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end; (*local*) |
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||
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||
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(** subclass relations **) |
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local |
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fun gen_subclass prep_class do_proof raw_sup lthy = |
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let |
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val thy = ProofContext.theory_of lthy; |
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val proto_sup = prep_class thy raw_sup; |
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val proto_sub = case TheoryTarget.peek lthy |
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of {is_class = false, ...} => error "Not in a class context" |
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| {target, ...} => target; |
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val (sub, sup) = AxClass.cert_classrel thy (proto_sub, proto_sup) |
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val expr = ([(sup, (("", false), Expression.Positional []))], []); |
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val (([props], deps, export), goal_ctxt) = |
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Expression.cert_goal_expression expr lthy; |
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val some_prop = try the_single props; |
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val some_dep_morph = try the_single (map snd deps); |
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fun after_qed some_wit = |
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ProofContext.theory (register_subclass (sub, sup) |
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some_dep_morph some_wit export) |
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#> ProofContext.theory_of #> TheoryTarget.init (SOME sub); |
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in do_proof after_qed some_prop goal_ctxt end; |
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fun user_proof after_qed NONE = |
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Proof.theorem_i NONE (K (after_qed NONE)) [[]] |
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#> Element.refine_witness #> Seq.hd |
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| user_proof after_qed (SOME prop) = |
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Proof.theorem_i NONE (after_qed o SOME o Element.make_witness prop |
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o Thm.close_derivation o the_single o the_single) |
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[[(Element.mark_witness prop, [])]] |
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#> Element.refine_witness #> Seq.hd; |
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fun tactic_proof tac after_qed NONE ctxt = |
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after_qed NONE ctxt |
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| tactic_proof tac after_qed (SOME prop) ctxt = |
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after_qed (SOME (Element.prove_witness ctxt prop tac)) ctxt; |
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in |
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val subclass = gen_subclass (K I) user_proof; |
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fun prove_subclass tac = gen_subclass (K I) (tactic_proof tac); |
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val subclass_cmd = gen_subclass Sign.read_class user_proof; |
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end; (*local*) |
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end; |